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A353910
Product_{n>=1} 1 / (1 - a(n)*x^n/n!) = 1 + sinh(x).
6
1, -2, 1, -28, 21, -146, 1023, -56400, 84745, -975502, 10925883, -57795112, 1994183205, -32047567540, 489891177051, -43944425632000, 158096182329585, -3254060029210454, 64115697136312563, -921897484040044728, 31920276313015362525, -812922524976721463020
OFFSET
1,2
MATHEMATICA
nn = 22; f[x_] := Product[1/(1 - a[n] x^n/n!), {n, 1, nn}]; sol = SolveAlways[0 == Series[f[x] - 1 - Sinh[x], {x, 0, nn}], x]; Table[a[n], {n, 1, nn}] /. sol // Flatten
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, May 10 2022
STATUS
approved